Question

Find the 50th term of the sequence 10,7,4,1,-2

Answer 1

Given:-

• AP = 10, 7, 4, 1 ,-2
• First Term (a) = 10
• Commen Difference (d) = 7-10 = -3
• nth term (n) = 50

Solution:-

`\sf \leadsto \: a_n = a + (n-1) d`

`\sf \leadsto \: a_(50) = 10 + (50-1) - 3`

`\sf \leadsto \: a_(50) = 10 + (49) - 3`

`\sf \leadsto \: a_(50) = 10 + 49 * ( - 3)`

`\sf \leadsto \: a_(50) = 10 + ( - 147)`

`\sf \leadsto \: a_(50) = 10 - 147`

`\sf \leadsto \: a_(50) = - 137`